Answer:
Being male and preferring brand A are independent.
Because: if independent then P(male and brand A) = P(male) P(brand A) = 0.48 * 0.75 = 0.36 and that is true (= value in the table)
P(male|brand A)=0.36/0.75=0.48 = P(male)
So the two answers are:
(1) "independent"
(2) =
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Answer: In geometry, an altitude of a triangle is a line segment through a vertex and perpendicular to (i.e., forming a right angle with) a line containing the base (the side opposite the vertex). This line containing the opposite side is called the extended base of the altitude.
Step-by-step explanation:
Answer:
32 degrees
Explalnation:
Both of the angles are acute angles, so the answer should be 32 degrees.
Answer:

Step-by-step explanation:
The formula of a perimeter of a rectangle:

The formula of an area of a rectangle:

l - lenght
w - width
We have l = 3w and the perimeter P = 256 in. Substitute:
<em>divide both sides by 2</em>
<em>divide both sides by 4</em>

Calculate the area of a rectangle:

The triangle ABC is the half of the rectangle. Therefore the area of a triangle ABC is:

A’ = (2, -2)
B’ = (4, -16)
C’ = (1, -1)